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Step-by-step explanation:Angle z + angle OAB = 90°
( Since the tangent and radii are perpendicular to each other)
Angle z + 50° = 90°
So, Angle z = 40°
OA = OB. (equal radii)
So, OAB is a isosceles triangle.
Angle OAB = angle OBA = 50°
In triangle OAB,
by angle sum property of triangles,
Angle OAB + Angle OBA +Angle AOB =180°
50° +50° + angle y = 180°
So, Angle y = 80°
Angle OAT = 90°
In triangle OAT
By angle sum property of triangles,
Angle OAT + angle AOT + angle OTA = 180°
90° + 80° + angle t =180°
Angle t = 10°
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